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Finding the Fourth Proportional to 359.04, 538.62 and 176.28

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Solution

The fourth proportional to 359.04, 538.62 and 176.28 is: 264.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.04 : 538.62 = 176.28 : x
  2. Step 2: Convert to fraction form
    359.04/538.62 = 176.28/x
  3. Step 3: Cross multiply
    359.04x = 538.62 × 176.28
  4. Step 4: Simplify right side
    359.04x = 94,947.93
  5. Step 5: Solve for x
    x = 94,947.93/359.04
  6. Step 6: Final answer
    x = 264.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.